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Finding the Third Proportional to 451,280 and 964,768

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Solution

The third proportional to 451,280 and 964,768 is: 2,062,527.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,280 : 964,768 = 964,768 : x
  2. Step 2: Convert to fraction form
    451,280/964,768 = 964,768/x
  3. Step 3: Cross multiply
    451,280x = 964,768 × 964,768
  4. Step 4: Simplify right side
    451,280x = 930,777,293,824
  5. Step 5: Solve for x
    x = 930,777,293,824/451,280
  6. Step 6: Final answer
    x = 2,062,527.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.